Arithmetic or Geometric?

a) If${a}_{1},{a}_{2},{a}_{3},\cdots$ is an arithmetic sequence, is the sequence ${a}_{1}+2,{a}_{2}+2,{a}_{3}+2,\cdots$ arithmetic?

b) If${a}_{1},{a}_{2},{a}_{3},\cdots$ is a geometric sequence, is the sequence $5{a}_{1},5{a}_{2},5{a}_{3},\cdots$ geometric?

a) If

b) If